Answer:
Step-by-step explanation:
This equation is solved if one of the following 2 conditions is met
1.
- (x² + 1) / 10 is between 1 and 2
and
- 10 / (x² + 1) is between 0 and 1
<u>Solve this:</u>
- 1 < (x² + 1) / 10 < 2
- 10 < x² + 1 < 20
- 9 < x² < 19
- 3 < |x| < √19
- x ∈ (- √19, - 3) ∪ (3, √19)
- 0 < 10 / (x² + 1) < 1
- x² + 1 > 10
- x² > 9
- |x| > 3
Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)
2.
- (x² + 1) / 10 is between 0 and 1
and
- 10 / (x² + 1) is between 1 and 2
<u>Solve this:</u>
- 0 < (x² + 1) / 10 < 1
- 0 < x² + 1 < 10
- - 1 < x² < 9
- 0 ≤ |x| < 3
- x ∈ ( - 3, 3)
- 1 < 10 / (x² + 1) < 2
- x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
- x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5
Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)
Answer:
132 m²
Step-by-step explanation:
The rectangle is 20 m by 6 m.
Base of triangle: 20 m - 8 m - 6 m = 6 m
Height of triangle: 10 m - 6 m = 4 m
The triangle has a base of 6 m and a height of 4 m.
A = LW + bh/2
A = 20 m × 6 m + (6 m × 4 m)/2
A = 120 m² + 12 m²
A = 132 m²
Answer:
If an equation has no solution, then it means it can't be solved.
If an equation has infinite solutions, it means that the answers are too large to be defined.
Step-by-step explanation:
An equation has no solution if for instance there is an error in that equation.
An equation has infinite solutions or undefined answers if for instance a number is divided by zero.
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